Question

comparati numerele :2 la puterea 61 cu 3 la puterea 41 si 2 la puterea 124 cu 5 la puterea 62

Answer 1

2^61 = 2^60 × 2 = (2^6)^10 × 2 =

= 64^10×2

3^41 = 3^40 × 3 = (3^4)^10 × 3 =

= 81^10×3

64^10 < 81^10 ==> 2^61 < 3^41

2^124 = (2^2)^62 = 4^62
4^62 < 5^62 ==> 2^124 < 5^62